Find the exact value of cos(alpha - beta) given sin(alpha) = - 4/5 and cos(beta) = - 5/8 in Quadrant iii and B in Quadrant ii
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Answer:
The types of trees that Logan genetically engineered are fir trees <u>9 meters</u> tall and pine trees <u>12 meters</u> tall.
Step-by-step explanation:
Given:
The combined height of one fir tree and one pine tree is 21 meters.
The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Now, to find the height of types of trees that Logan genetically engineered.
<em>Let the height of fir tree be </em><em />
<em>And let the height of pine tree be </em><em />
So, the combined height of both the trees:
As given, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Thus,
Now, substituting the value of from equation (1):
<em /><em />
<em>Subtracting both sides by 24 we get:</em>
<em /><em />
<em>Adding both sides by </em><em> we get:</em>
<em /><em />
<em>Dividing both sides by 5 we get:</em>
<u>The height of pine trees = 12 meters.</u>
Now, substituting the value of in equation to get the height of fir trees:
<u>The height of fir trees = 9 meters.</u>
Therefore, the types of trees that Logan genetically engineered are fir trees 9 meters tall and pine trees 12 meters tall.